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Finding the Fourth Proportional to 312.98, 431.93 and 173.09

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Solution

The fourth proportional to 312.98, 431.93 and 173.09 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.98 : 431.93 = 173.09 : x
  2. Step 2: Convert to fraction form
    312.98/431.93 = 173.09/x
  3. Step 3: Cross multiply
    312.98x = 431.93 × 173.09
  4. Step 4: Simplify right side
    312.98x = 74,759.74
  5. Step 5: Solve for x
    x = 74,759.74/312.98
  6. Step 6: Final answer
    x = 238.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.